Question

please give the correct answer with explanations, thank you

For the answers below use Maple syntax to enter exact answers. Use for all multiplications. For example, 35 should be entered as 3-sqrt(5) • should be entered as Pi .22 should be entered as exp (2*x) .61 (ie six factorial) should be entered as 6! Consider the f: RR given by f(x) = cos(5x) The Taylor series of f(x) about x = T has the form aq +91(x - 5) + a2(- 5)2 + az(- 5)3 +44(0 - 5)4 +... 6 where there coefficients do 01.02. have the form g(k) (A) Enter expressions for A and B in the boxes below. B B Find 0.91.02 and a3 and enter these values below using Maple syntax (see note above). 40 41 42

Answer 1

Here's the solution... Please have a look at it...

Given, a V about 6 f(x)= Cos 50 Solution is given by , o Taylor series fk (a) 2 (sc-.a) k! f(x) = f(x) = cosso f - 2 f (x) - - 5 sinux -5 253 こ 2 Lante w .625 53 f() f" (1) F"( las fil) f'(I) = -3125 of (&). (-)-(3-0) (x-12 & 125 (- 2 2 T 2553 + 2.21

F(x) - - 5 425 수 125 + 6s 양 을 사용 (x) (x) - 6 (-)+ [L 48 t. 지 A = cos 5x a 돌 B 3 k! 2SS t 125 22 27 3 () 2 FL25 Answers Hence (the ansnel.